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Find the equations of the lines and plot the lines from Exercise $51$.

$x=12$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Find the equations of the …

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Finding an Equation of a L…

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Finding Equations of Lines…

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? Finding Equations of Lin…

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Find the equation of the l…

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for this problem. We're referencing exercise 51 from earlier in this lesson as a reminder. Exercise 51 gave us two points 12, 16 and 12 Negative 73 in exercise 51 we found the slope of the line connecting those. And what we found was that there was no slope. It was undefined. Remember, no slope does not mean a slope of 00 is a number. There truly is no define slope between these points. Good. Our goal for this problem is to find the equation of the line that connects them. So let's talk a little bit about undefined slope means because usually we would use either slope intercept or the point slope. They require us to have a slope. We have no slope here, no slope. When I talk about slope, we have rise over run. No slope means that that denominator was equal to zero. That's what makes our with a fractured be undefined. That means I have no sideways motion. I can rise, but I don't run. If I have no sideways motion, that means I have a vertical wine. Vertical lives are always written an equation as X equals a number So in this case, both points that we have have the same X coordinate. X equals 12. So that is the equation of our line. Well, what does that look like? If I go to graph it? Well, I'm gonna find X equals 12 on my X axis. 123456789 10, 11. I'm actually a little bit off my access. So let me make this black line go just a little bit further. And there's X equals 12. Our equation has no why value, Which means I could have any why I choose 16. Negative. 73 0. 54 Doesn't matter. As long as my X coordinate is 12. That is my line. So there's my vertical line. Goes through the X axis at X equals 12.

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